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Finding the Fourth Proportional to 4,114.36, 6,174.27 and 3,840.98

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Solution

The fourth proportional to 4,114.36, 6,174.27 and 3,840.98 is: 5,764.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.36 : 6,174.27 = 3,840.98 : x
  2. Step 2: Convert to fraction form
    4,114.36/6,174.27 = 3,840.98/x
  3. Step 3: Cross multiply
    4,114.36x = 6,174.27 × 3,840.98
  4. Step 4: Simplify right side
    4,114.36x = 23,715,263.02
  5. Step 5: Solve for x
    x = 23,715,263.02/4,114.36
  6. Step 6: Final answer
    x = 5,764.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.